# How many socks must be removed to ensure they contain: (a) a matching pair? (b) a blue pair?

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If there are ten blue socks, ten red socks and ten brown socks in a drawer in a dark room how many socks must be removed to ensure they contain: (a) a matching pair? (b) a blue pair?

posted Mar 30

(a) a matching pair:
only If we pick 4 socks we can ensure that at least 1 of the 3 colors will repeat.

(b) a blue pair:
Only if we pick 22 socks we can ensure that there is at least 1 pair of blue socks.

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